“…Multivariable system modelling has received much attention in various practical systems, including magnetic compressors and magnetic fluids [9,17], piston engines [8], distillation columns [13,14], fault detection systems [12,18] and travelling waves [11], etc. As a consequence of this wide variety of applications, different identification algorithms for multivariable systems have been vastly reported in the literature, e.g., the gradient based iterative algorithm and the least squares based iterative algorithm for multivariable CARARMA systems [7], the hierarchical gradient-based iterative identification algorithms for multivariable CARAR-like systems [21], the stochastic gradient estimation algorithm for multivariable equation error systems [15], the auxiliary modelbased multi-innovation stochastic gradient algorithm for multiple-input singleoutput systems [16], the bias compensation based identification algorithms for multivariable systems [22,23], and the coupled-least-squares identification for multivariable systems [1].…”